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Regularized HSS iteration methods for stabilized saddle-point problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1888-1923
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载:183/0  |  提交时间:2020/01/10
stabilized saddle-point problem  Hermitian and skew-Hermitian splitting  stationary iteration method  inexact implementation  preconditioning  convergence  
Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 5, 页码: 18
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载:161/0  |  提交时间:2019/01/11
convergence property  HSS iteration  matrix splitting  preconditioning  respective scaling  spatial fractional diffusion equation  
Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 4, 页码: 19
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载:116/0  |  提交时间:2019/12/13
convergence  Hermitian and skew-Hermitian splitting  iteration method  preconditioning  system of linear equations  
On HSS-based constraint preconditioners for generalized saddle-point problems 期刊论文
NUMERICAL ALGORITHMS, 2011, 卷号: 57, 期号: 2, 页码: 273-287
作者:  Zhang, Guo-Feng;  Ren, Zhi-Ru;  Zhou, Yuan-Yuan
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
Saddle-point problem  Iterative method  Preconditioning method  Non-Hermitian indefinite linear system  HSS-based preconditioner  
On preconditioned MHSS iteration methods for complex symmetric linear systems 期刊论文
NUMERICAL ALGORITHMS, 2011, 卷号: 56, 期号: 2, 页码: 297-317
作者:  Bai, Zhong-Zhi;  Benzi, Michele;  Chen, Fang
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
Complex symmetric linear system  MHSS iteration  Preconditioning  Convergence theory  Spectral properties  
ON HERMITIAN AND SKEW-HERMITIAN SPLITTING ITERATION METHODS FOR CONTINUOUS SYLVESTER EQUATIONS 期刊论文
Journal of Computational Mathematics, 2011, 卷号: 29, 期号: 2, 页码: 185
作者:  Bai Zhongzhi
收藏  |  浏览/下载:96/0  |  提交时间:2018/07/30
On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems 期刊论文
COMPUTING, 2010, 卷号: 89, 期号: 3-4, 页码: 171-197
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
Singular linear system  Non-Hermitian matrix  Positive semidefinite matrix  Hermitian and skew-Hermitian splitting  Splitting iteration method  Semi-convergence  Preconditioning matrix  Krylov subspace method  
Modified HSS iteration methods for a class of complex symmetric linear systems 期刊论文
COMPUTING, 2010, 卷号: 87, 期号: 3-4, 页码: 93-111
作者:  Bai, Zhong-Zhi;  Benzi, Michele;  Chen, Fang
收藏  |  浏览/下载:94/0  |  提交时间:2018/07/30
Complex symmetric matrix  Hermitian and skew-Hermitian splitting  Iteration method  Krylov subspace method  Convergence analysis  Preconditioning  
ON NEWTON-HSS METHODS FOR SYSTEMS OF NONLINEAR EQUATIONS WITH POSITIVE-DEFINITE JACOBIAN MATRICES 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 卷号: 28, 期号: 2, 页码: 235-260
作者:  Bai, Zhong-Zhi;  Guo, Xue-Ping
收藏  |  浏览/下载:108/0  |  提交时间:2018/07/30
Systems of nonlinear equations  HSS iteration method  Newton method  Local convergence  
On HSS-based iteration methods for weakly nonlinear systems 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2009, 卷号: 59, 期号: 12, 页码: 2923-2936
作者:  Bai, Zhong-Zhi;  Yang, Xi
收藏  |  浏览/下载:98/0  |  提交时间:2018/07/30
System of weakly nonlinear equations  HSS iteration method  Inner/outer iteration scheme  Nonlinear iteration scheme  Local convergence